If you would like to find the missing step, you can do this using the following steps:
- 6 * x - 10 > 14 + 2 * x
- 6 * x - 2 * x - 10 > 14
- 8 * x - 10 > 14
- 8 * x > 24 /(-8)
x < 24 / (-8)
x < - 3
The correct missing step would be <span>- 8 * x - 10 > 14</span>.
Answer:
1. z = 128
2. x = 4.2
3. c = 10
4. w = 100
5. a = 95.2
Step-by-step explanation:
1. Solve for z:
z/16 = 8
Multiply both sides of z/16 = 8 by 16:
(16 z)/16 = 16×8
(16 z)/16 = 16/16×z = z:
z = 16×8
16×8 = 128:
Answer: z = 128
_____________________________________________________
2. Solve for x:
3.5 x = 14.7
Divide both sides of 3.5 x = 14.7 by 3.5:
(3.5 x)/3.5 = 14.7/3.5
3.5/3.5 = 1:
x = 14.7/3.5
14.7/3.5 = 4.2:
Answer: x = 4.2
____________________________________________
3. Solve for c:
32 = 3.2 c
32 = 3.2 c is equivalent to 3.2 c = 32:
3.2 c = 32
Divide both sides of 3.2 c = 32 by 3.2:
(3.2 c)/3.2 = 32/3.2
3.2/3.2 = 1:
c = 32/3.2
32/3.2 = 10:
Answer: c = 10
__________________________________________________
4. Solve for w:
(2 w)/5 = 40
Multiply both sides of (2 w)/5 = 40 by 5/2:
(5×2 w)/(2×5) = 5/2×40
5/2×2/5 = (5×2)/(2×5):
(5×2)/(2×5) w = 5/2×40
5/2×40 = (5×40)/2:
(5×2 w)/(2×5) = (5×40)/2
(5×2 w)/(2×5) = (2×5)/(2×5)×w = w:
w = (5×40)/2
2 | 2 | 0
| 4 | 0
- | 4 |
| | 0
| - | 0
| | 0:
w = 5×20
5×20 = 100:
Answer: w = 100
___________________________________________________
5. Solve for a:
a/14 = 6.8
Multiply both sides of a/14 = 6.8 by 14:
(14 a)/14 = 14×6.8
(14 a)/14 = 14/14×a = a:
a = 14×6.8
14×6.8 = 95.2:
Answer: a = 95.2
well for a line, to get its slope all we need is two points, so let's use (-6, 5) and (0, 1), and get the equation of it.
now, where's the y-intercept of that line? well, to get the y-intercept, we set x = 0 and solve for "y"....hmmmm wait a second, notice (0, 1), x = 0, y = 1, that's the y-intercept already.
Answer:
5 hours and 48 minutes
Step-by-step explanation:
The equation for finding average speed is:
Let x represent the distance for both the journey from Riley's college to home and back. We can use one variable to represent this because both distances are the same.
We also know that the total round trip took 12 hours. Let y represent the time it took for Riley to drive from college to home. Therefore the time it takes for Riley to drive from home to college is 12 - y.
Using this information, we can set up a system of equations.
<h3>Setting up a System of Equations</h3>
Multiply both sides of the first equation by "y" and both sides of the second equation by "12 - y".
Since both 65.1y and 835.2-69.6y are equivalent to x, we can set them equal to each other.
Now, we have to solve the equation for time or "y".
<h3>Solving for Time</h3>
Add 69.6y to both sides
Divide both sides by 134.7
This is the time it took for Riley to drive from college to home, therefore the time it took for Riley to drive from home back to college is:
5 hours and 48 minutes
The themes that are similar in the talks include:
- The authors talked about how much an impact a story can make.
- They also talked about how it's important to pay attention to those stories.
- They also talked about how a story can be passed.
<h3>What is a theme?</h3>
It should be noted that a theme simply means the main idea that is illustrated in a story.
In this case, the similar themes in these two talks include the fact that the authors talked about how much an impact a story can make and how it's important to pay attention to those <em>stories</em>.
Learn more about themes on:
brainly.com/question/11600913